Homogenization of the acoustic streaming in periodic rigid porous structures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43975768" target="_blank" >RIV/49777513:23520/25:43975768 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jsv.2025.119252" target="_blank" >https://doi.org/10.1016/j.jsv.2025.119252</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jsv.2025.119252" target="_blank" >10.1016/j.jsv.2025.119252</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of the acoustic streaming in periodic rigid porous structures

Popis výsledku v původním jazyce

The paper presents a new model of the acoustic streaming (AS) in rigid porous media. The modelling is based on the classical perturbation approach combined with the periodic homogenization. The first one enables to linearize the Navier–Stokes equations for a barotropic fluid using the decomposition into the first and the second order subproblems governing the fluid dynamics in the rigid period scaffolds. The acoustic wave captured by the first order problem provides the Reynolds stress which appears in the second order problem as the streaming source term. Both the subproblems are treated by the homogenization resulting in the dynamic Darcy flow equations. Using spectral analysis of the characteristic microscopic dynamic Stokes flow and the associated spectral decomposition of the responses, the dynamic permeability is derived and also the driving force for the time-averaged permanent flow is evaluated. The AS can be observed at both the macroscopic and the microscopic levels. While the acoustics-driven microflows are observed for any microstructure, the macroscopic AS depends on the porous microstructure geometry, its nonsymmetry and boundary conditions. For porous particulate structures, the forces and force moments acting on the suspended particles are computed and the influence of the wave frequency and geometrical features is examined. All these effects are illustrated using 2D examples of periodic porous microstructures.

Název v anglickém jazyce

Homogenization of the acoustic streaming in periodic rigid porous structures

Popis výsledku anglicky

The paper presents a new model of the acoustic streaming (AS) in rigid porous media. The modelling is based on the classical perturbation approach combined with the periodic homogenization. The first one enables to linearize the Navier–Stokes equations for a barotropic fluid using the decomposition into the first and the second order subproblems governing the fluid dynamics in the rigid period scaffolds. The acoustic wave captured by the first order problem provides the Reynolds stress which appears in the second order problem as the streaming source term. Both the subproblems are treated by the homogenization resulting in the dynamic Darcy flow equations. Using spectral analysis of the characteristic microscopic dynamic Stokes flow and the associated spectral decomposition of the responses, the dynamic permeability is derived and also the driving force for the time-averaged permanent flow is evaluated. The AS can be observed at both the macroscopic and the microscopic levels. While the acoustics-driven microflows are observed for any microstructure, the macroscopic AS depends on the porous microstructure geometry, its nonsymmetry and boundary conditions. For porous particulate structures, the forces and force moments acting on the suspended particles are computed and the influence of the wave frequency and geometrical features is examined. All these effects are illustrated using 2D examples of periodic porous microstructures.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA24-12291S" target="_blank" >GA24-12291S: Víceškálové modelování akusticky vyvolaného proudění tekutin a částicových suspenzí v adaptivních porézních strukturách</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF SOUND AND VIBRATION

ISSN

0022-460X

e-ISSN

1095-8568

Svazek periodika

618

Číslo periodika v rámci svazku

DEC 10 2025

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

30

Strana od-do

119252

Kód UT WoS článku

001519850100001

EID výsledku v databázi Scopus

2-s2.0-105008731585